What is the Greatest Common Factor of 22022 and 22035?

Greatest common factor (GCF) of 22022 and 22035 is 13.

GCF(22022,22035) = 13

We will now calculate the prime factors of 22022 and 22035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22022 and 22035.

How to find the GCF of 22022 and 22035?

We will first find the prime factorization of 22022 and 22035. After we will calculate the factors of 22022 and 22035 and find the biggest common factor number .

Step-1: Prime Factorization of 22022

Prime factors of 22022 are 2, 7, 11, 13. Prime factorization of 22022 in exponential form is:

22022 = 2¹ × 7¹ × 11² × 13¹

Step-2: Prime Factorization of 22035

Prime factors of 22035 are 3, 5, 13, 113. Prime factorization of 22035 in exponential form is:

22035 = 3¹ × 5¹ × 13¹ × 113¹

Step-3: Factors of 22022

List of positive integer factors of 22022 that divides 22022 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 121, 143, 154, 182, 242, 286, 847, 1001, 1573, 1694, 2002, 3146, 11011

Step-4: Factors of 22035

List of positive integer factors of 22035 that divides 22022 without a remainder.

1, 3, 5, 13, 15, 39, 65, 113, 195, 339, 565, 1469, 1695, 4407, 7345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22022 and 22035. The biggest common factor number is the GCF number.
So the greatest common factor 22022 and 22035 is 13.

Also check out the Least Common Multiple of 22022 and 22035